Two types of tickets are available for a charity ball event: $18 for a reserved seat and $9 for general admission. The number of reserved seats available is 85 less than the number of tickets available for general admission. If the sale of tickets for the day was $3,600, how many seats were allotted for general admission?

Given :

[tex]{\qquad \sf \dashrightarrow y= 4x + 1 \: –––– \sf \: (i)}[/tex]

[tex]{\qquad \sf \dashrightarrow 3x + 2y = 13 \: –––– \sf \: (ii)}[/tex]

Now, Substituing the value of y in equation (ii) :

[tex]{\qquad \sf \dashrightarrow \: 3x + 2y = 13 }[/tex]

[tex]{\qquad \sf \dashrightarrow \: 3x + 2(4x + 1) = 13 }[/tex]

[tex]{\qquad \sf \dashrightarrow \: 3x + 8x + 2 = 13 }[/tex]

[tex]{\qquad \sf \dashrightarrow \: 11x + 2 = 13 }[/tex]

[tex]{\qquad \sf \dashrightarrow \: 11x = 13 - 2 }[/tex]

[tex]{\qquad \sf \dashrightarrow \: 11x = 11 }[/tex]

[tex]{\qquad \sf \dashrightarrow \: x = \dfrac{11}{11} }[/tex]

[tex]{\qquad \sf \dashrightarrow \bf \: x = 1 }[/tex]

Now, substituting the value of x in equation (i) :

[tex]{\qquad \sf \dashrightarrow y= 4x + 1}[/tex]

[tex]{\qquad \sf \dashrightarrow y= 4(1) + 1}[/tex]

[tex]{\qquad \sf \dashrightarrow y= 4 + 1}[/tex]

[tex]{\qquad \bf \dashrightarrow y= 5}[/tex]

Answer:

False

Step-by-step explanation:

[tex]the \: expression \: is \: 3x[/tex]

Answer:

false

Step-by-step explanation:

thrice a number means 3 times the number

if the number is m then thrice the number is

3 × m = 3m

The graph of [tex]g(x)[/tex] opens downward and is shifted to the right 6 and up 3 units.

Let be [tex]f(x) = x^{2}[/tex], we need to apply the following three rigid transformations on [tex]f(x)[/tex] to obtain [tex]g(x)[/tex]:

Hence, the graph of [tex]g(x)[/tex] opens downward and is shifted to the right 6 and up 3 units. [tex]\blacksquare[/tex]

To learn more on rigid transformations, we kindly invite to check this verified question: https://brainly.com/question/1761538

Answer:

The graph of  opens downward and is shifted to the right 6 and up 3 units.

Answer:

Step-by-step explanation: just write from 2 to 11 one by one

Explanation:

3 feet = 1 yard

14*(3 feet) = 14*(1 yard) .... multiply both sides by 14

42 feet = 14 yards

The carpet is 14 yards by 14 yards.

Its area is 14*14 = 196 square yards.

Since it costs $25 per square yard, this means the total cost is 25*196 = 4900 dollars

Answer:

312.29 square feet

Step-by-step explanation:

[tex]w = \sqrt{ {d}^{2} - {l}^{2} } = \sqrt{ {25}^{2} - {18}^{2} } \\ [/tex]

w = 17.35

A= l × w

= 18 × 17.35

= 312.29 square feet

Answer:

2

Step-by-step explanation:

If ABC is equilateral, its angles are all equal to each other and each one measures 60°.

[tex]8x-44 =60\\8x = 16 \rightarrow x = 2[/tex]

Answer: 13 and 9

Step-by-step explanation:

because since there are two people 38-(8x2)=22

The only numbers that add up to 22 that have a difference of 4 are 13 and 9

Another way:

T=C+4

T+8+C+8=38

C+4+C+8=

Answer:

8( b - 4 )

Step-by-step explanation:

8 x ( b - 4 )

8( b - 4 )

I hope this helps!

Answer:

2x + 3y = 12 …equation 1

x– y = 1 … equation 2

To solve it by elimination method, let us multiply the second equation by 3

3x — 3y = 3 …equation 3

Now add the first and third equation

5x = 15

x = 3

From equation 2, y = x-1

y = 2

Hence x = 3, y = 2.

(b) 3x + y = 10

Since we have one equation and 2 variables, it cannot be solved by the elimination method.

To solve this, we can go for trial and error

Say y = 1, x = 3 or x = 5, y = —5

(c) x – 3y=1 …eq 1

3x – 2y + 4 = 0 …eq 2

Multiply eq 1 by 3, 3x — 9y = 3 …eq 3

Eq 2 — eq 3,

7y = —7

y = —1, x = —2 Ans

Answer:

16 ounces

Step-by-step explanation:

one pound is sixteen ounces

Answer:

3

Step-by-step explanation:

If x=11 then the top line would equal 11+4, which is 15

If y=3 then the bottom line would equal 3+2, which is 5

So, you end up with 15/5, which equals 3

Answer:

She is 60 years old

Step-by-step explanation:

The first thing we can do is convert each fraction to have a common denominator. The LCM of 5, 3, and 4 is 60.

[tex]\frac{1}{4} =\frac{15}{60}[/tex]

[tex]\frac{1}{3} =\frac{20}{60}[/tex]

[tex]\frac{1}{5} =\frac{12}{60}[/tex]

Add the numerators:

[tex]15+12+20=47/60[/tex]

Meaning that the time she lived in Switzerland is the remaining 13/60, and since she lived there for 13 years that means she lived for a total of 60 years because the numerator and denominator both equal 60.

#LearnWithBrainly

Answer:

------------------------------

Let the age of Teresa be x.

Set up equation:

Multiply both sides by 3*4*5 = 60 to clear fraction:

Step-by-step explanation:

125 + 30 + 25 + b is equal to 180 degree 19 + y equal to 180 degree equal to 180 - 190 equal to - -10

Answer:

8 m^2

Step-by-step explanation:

4x2=8 and if it needs to be in sq meters it is 8 m^2  (m^2 means meters squared)

I don't know use a calculator

Answer:[tex]2\sqrt{3}[/tex]

Step-by-step explanation:

Use pytha. theorem on leftmost triangle and get sqrt(13)

Use it again on the other triangle: 13+b^2=25

First, we find the hypotenuse of the first triangle

(Use the pythagorean theorem) : [tex]3^{2} + 2^{2} = 9 + 4 = 13[/tex]

So, the length of the side = [tex]\sqrt{13}[/tex]

Now, we find x :

x(squared) = [tex]5^{2} -\sqrt{13} ^{2}[/tex] = 25 - 13 = 12

-> x = [tex]\sqrt{12}[/tex] = 2[tex]\sqrt{3}[/tex]

Answer:

i think it's 22500 deep down to the ocean

Answer:

x = 10

y = 5√3

Step-by-step explanation:

SOLVE FOR X :

ABC = 90°

ABC + ACB + BAC = 180°

90° + ACB + 30° = 180°

ACB = 60°

cos(ACB) = BC/AC

cos(60°) = 5/x

x = 10

SOLVE FOR Y:

tan(BAC) = BC/AB

tan (30°) = 5/y

y = 5√3

PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)

Answer:

9

Step-by-step explanation:

Follow PEMDAS

[tex]4-(-6)+(-4)+3x\\4+6-4+3x\\6+3x\\6+3=9[/tex]

Answer:

6

Step-by-step explanation: [tex]4-\left(-6\right)+\left(-4\right)+3\times0[/tex]

Apply the Inverse Property of Addition

[tex]-\left(-6\right)+3\times0[/tex]

Apply Zero Property of Multiplication

[tex]-\left(-6\right)[/tex]

Determine the sign

[tex]6=YOUR\ ANSWER[/tex]

I hope this helps you

:)

Solution:

We know that:

This means that:

Step-1: Convert "40%" into a fraction.

Step-2: Find the discounted price.

Answer:

The answer is A!

Step-by-step explanation:

area of the base = pi*(4x+2)^2 = pi*(16x^2 +16x +4)

volume of cylinder = pi*r^2 *h

V = pi *(16x^2 +16x +4)(5x+4) = pi*(80x^3 +80x^2 +20x +64x^2 +64x +16) =

= pi*(80x^3 +144x^2 +84x +16)

Answer:

Step-by-step explanation:

The volume of a cylinder can be thought of as the area of a circle, scaled by the height of the cylinder. The formula for the volume of a cylinder is:

[tex]V=\pi r^2h[/tex]

Plug in the radius, and the height:

[tex]V=\pi (4x+2)^2(5x+4)[/tex]

Use FOIL to expand the squared binomial:

[tex]V=\pi (16x^2+16x+4)(5x+4)[/tex]

Bring out the binomial to the front of the trinomial:

[tex]V=\pi [(5x+4)(16x^2+16x+4)][/tex]

The process to multiply a trinomial by a binomial involves multiplying the trinomial by each term of the binomial:

[tex]V=\pi [(5x+4)(16x^2+16x+4)]=\pi [5x(16x^2+16x+4)+4(16x^2+16x+4)][/tex]

The rest is just distributing and tedious algebra:

[tex]V=\pi [(80x^3+80x^2+20x)+(64x^2+64x+16)][/tex]

Combine like terms and order the terms from highest exponent to lowest exponent. That is the definition of standard form:

[tex]V=\pi [80x^3+144x^2+84x+16][/tex]

[tex]V=4\pi [20x^3+36x^2+21x+4][/tex]

Answer

=12/13

Step-by-step explanation:

I have done it before:)

Answer:

A) The page indictor shows 1/4

Step-by-step explanation:

Because 1 is out of a multiple 4 pages.

Hope it helps.

Answer:

  (d)  22

Step-by-step explanation:

For numbers of days above 19, the fine is constant. The answer choice that is above 19 is 22. For 22 days overdue, the fine will be the same as for 21 days overdue: $10.

 22 could be the number of days

Answer:

D. 22

Step-by-step explanation:

Answer:

B. (-5,-4)

Step-by-step explanation:

The answer must be at the point where the two functions intersect. They meet at the points (-5,-4) and (2,0). Since (2,0) is not an answer choice, (-5,-4) must be the answer.

Answer:

2m + 3 I think.

Step-by-step explanation:

4m - 2m = 2m. So just put that in the equation now and poof. 2m + 3